Note on the Haussdorft measure of noncompactiness
- González Ortiz, Manuel
- Martinón Cejas, Antonio
ISSN: 1130-4723
Année de publication: 1990
Volumen: 1
Número: 1
Pages: 119-123
Type: Article
D'autres publications dans: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum
Résumé
A result of R. Harte and A. Wick stead for Banach spaces is generalized in this note for families on a complete metric space in which is defined a set measure: if (xi) is a bounded family, then the set measure of its range {xi} agrees with the distance of (xi) to the set of all families with range of null set measure, in the the metric space of bounded families.